Answer the following questions for the function f(x) = sin² (4) defined on the interval [-11.87, 2.84]. Remember that you can enter pi for π as part of your answer. a.) f(x) is concave down on the region(s) (3л,-л) b.) A global minimum for this function occurs at 0 c.) A local maximum for this function which is not a global maximum occurs at π d.) The function is increasing on the region(s) (-4,-2), (0,л) Note: In some cases, you may need to give a comma-separated list of intervals, and intervals should be given in interval notation.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Answer the following questions for the function
f(x) = sin²
(4)
defined on the interval [-11.87, 2.84].
Remember that you can enter pi for π as part of your answer.
a.) f(x) is concave down on the region(s) (3л,-л)
b.) A global minimum for this function occurs at 0
c.) A local maximum for this function which is not a global maximum occurs at π
d.) The function is increasing on the region(s) (-4,-2), (0,л)
Note: In some cases, you may need to give a comma-separated list of intervals, and intervals should be given in interval notation.
Transcribed Image Text:Answer the following questions for the function f(x) = sin² (4) defined on the interval [-11.87, 2.84]. Remember that you can enter pi for π as part of your answer. a.) f(x) is concave down on the region(s) (3л,-л) b.) A global minimum for this function occurs at 0 c.) A local maximum for this function which is not a global maximum occurs at π d.) The function is increasing on the region(s) (-4,-2), (0,л) Note: In some cases, you may need to give a comma-separated list of intervals, and intervals should be given in interval notation.
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